The length of a rectangle is 2 cm more than 5 times the width. If the perimeter of the rectangle is 28 cm, what are the dimensions?
Answers
Answer:
A
Step-by-step explanation:
The formula for the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.
28 = 2(5x+2) + 2x
28 = 10x + 4 + 2x
28 = 12x + 4
24 = 12x
x = 2
Therefore, the width of the rectangle is 2 cm, and the length is 5(2) + 2 = 12 cm. The correct answer is A. Width = 4 cm and Length = 10 cm.
28 = 10x + 4 + 2x
28 = 12x + 4
24 = 12x
x=2
so the answer is A
Related Questions
i hate geometry....so very much
Answers
Answer: 128 cm
Step-by-step explanation: 96+24+8=128cm
pls help me 1st awner gets brainlyest
Answers
if I understood the problem correctly I think a is 35, and b is 25
Which of the following is the solution set of x < 5?
A) x = {5, 4, 3, 2, 1, ... }
B) x = {5, 6, 7, 8, 9, ... }
C) x = {4, 3, 2, 1, ... }
D) x = {3, 4, 5, 6, 7, ... }
with solution pls, show the solution how did you get the answer
Answers
The best answer from the options provided is C, because "x<5" means all the numbers less than 5 and answer C only has integers that are less than 5.
Now C isn't a perfect answer, because C leaves out all the other fractions and decimals like 4.3 and 3/4 that are also less than 5, but aren't in answer C.
But given your choices, A, B, and D are not the answer, since they all have a number included that's greater than OR equal to 5.
To see why, let's break down the inequality x < 5. This inequality means that x can be any number that is less than 5, but not including 5 itself. In other words, x can be any number in the open interval (-∞, 5).
The solution set for this inequality is any set of numbers that satisfies this condition. The set of numbers in option B) {5, 6, 7, 8, 9, ... } is the only set that satisfies this condition, since all of these numbers are less than 5.
Option A) {5, 4, 3, 2, 1, ... } includes 5, which is not a solution to the inequality x < 5.
Option C) {4, 3, 2, 1, ... } does not include any numbers greater than or equal to 5, so it does not satisfy the inequality x < 5.
Option D) {3, 4, 5, 6, 7, ... } includes 5, which is not a solution to the inequality x < 5.
The owner of a tea shop is making a blend of two teas. Tea A costs $5.40 per pound. Tea B costs $6.80 per pound. The owner wants to make 8 pounds of the blend and wants to sell it for $5.75 per pound. How much of each tea should he use?
Answers
12 pounds of tea-1 and 8 pounds of tea-2 should be used.
Step-by-step explanation:
Let the mass of the tea-1 be x and tea-2 be y.
Total mass of mixture tea owner wants to make = 20
pounds
x+y = 20 ... [1]
Cost of 1 pound of tea-1 = $6.50
Cost of 1 pound of tea-2 = $4.00
Cost of the 1 pounds mixture = $5.50
₴ × $6.50 + y × $4.00 = 20 × $5.50
6.5× + 4.00y = 110... [2]
Solving equation [1] and [2] by substitution method, putting value of × from [1] in [2].
X=20 - y
6.5(20 - y) + 4.00y = 110
130 - 6.50y + 4.00y = 110
-2.5 y=-20
y = 8
×=20-y = 20-8 = 12
12 pounds of tea-1 and 8 pounds of tea-2 should be used.
I REALLY HOPE THIS HELPS
What is the equation for the line of reflection? On a coordinate plane, image A B C D has points (2, 2), (7, 3), (5, 1), (4, 1). Image A prime B prime C prime D prime has points (10, 2), (5, 3), (7, 1), (8, 1). x = 6 y = 6 y = x y = 2 Mark this and return
Answers
The equation of the line of reflection should be .
Given information:
Triangle ABC has points (6, 3.7), (5.4, 2), (1, 3). Triangle A' B'C' has points (3.7, 6), (2, 5.4), (3, 1).
A'B'C' is the reflection of the triangle ABC.
It is required to find the equation of the line of reflection.
Now, from the given coordinates of triangle ABC and its reflection, it is clear that the x and y-coordinates have interchanged their values. For example, coordinate (6,3.7) has become (3.7,6).
Therefore, the equation of the line of reflection should be .
The midpoint between (2, 2) and (10, 2) is ((2 + 10) / 2, (2 + 2) / 2), which simplifies to (6, 2). The midpoint between (7, 3) and (5, 3) is ((7 + 5) / 2, (3 + 3) / 2), which simplifies to (6, 3). The midpoint between (5, 1) and (7, 1) is ((5 + 7) / 2, (1 + 1) / 2), which simplifies to (6, 1). Finally, the midpoint between (4, 1) and (8, 1) is ((4 + 8) / 2, (1 + 1) / 2), which simplifies to (6, 1).
The line of reflection is the line that passes through each pair of midpoints. Since all four midpoints have the same x-coordinate of 6, the line of reflection is a vertical line passing through x = 6.
Therefore, the equation for the line of reflection is:
x = 6
What is area of the composite shape? ___ sq. ft
Use 3.14 for "pi" and round to the nearest hundredths place.
Answers
Answer:
236.63
Step-by-step explanation:
236.63 sq
can u help me pls ik u lookin so pls help me
Answers
Answer:
1240.4 mm²
Hope this helps!
Step-by-step explanation:
The surface area of the regular pyramid is the area of the base plus the area of the 5 triangles.
One triangle has the formula of [tex]\frac{1}{2}[/tex] × Base × ( Slant ) Height.
One triangle has the area of [tex]\frac{1}{2}[/tex] × 16 × 20 = 8 × 20 = 160 mm²
160 mm² × 5 ( cause there are 5 triangles ) = 800 mm²
800 mm² + 440.4 mm² = 1240.4 mm²
Answer:
1240.4 mm²
Step-by-step explanation:
Surface area: add all of the sides' areas
Area of a triangle is 1/2 bh
1/2 (16)(20)=160(one side)
Since there are 5 sides we would do 160x5=800
Then adding the 2 areas together
440.4+800=1240.4
Choose an expression that is equivalent to the following.
6n + 2(3 - 5n)
A. n+6
B. 16n+6
C. 6-4n
D. 11n
Answers
Answer: C. 6-4n
Step-by-step explanation:
We will simplify the expression and see which one is equivalent.
Given:
6n + 2(3 - 5n)
Distribute:
6n + 6 - 10n
Subtract:
-4n + 6
This is the same as 6 - 4n, so our answer is C. 6-4n
Answer:
6-4n (C.)
Step-by-step explanation:
First you would do 2x3=6
2x-5n=-10n
6n+ -10n= -4n
6-4n
Ms. Hernandez is taking her children and their friends to the movies. She will pay $10 for her adult ticket and $7 for each child ticket. Ms. Hernandez does not want to spend more than $40. Which inequality can be used to find c, the number of child tickets Ms. Hernandez can purchase?
Answers
Answer:
The inequality can be used to find c, the number of child tickets Ms. Hernandez can purchase is option (D) 10 + 7x ≤ 40.
Step-by-step explanation:
Step 1: Let x be the number of child tickets that Ms. Hernandez can purchase.
Step 2: The cost of the adult ticket is $10, and the cost of each child ticket is $7. Therefore, the total cost T of the tickets can be expressed as:
T = 10 + 7x
Step 3: Ms. Hernandez does not want to spend more than $40. So, we can write an inequality to express this:
T ≤ 40
Substituting the expression for T, we get:
10 + 7x ≤ 40
Simplifying the inequality:
7x ≤ 30
Step 4: Dividing both sides by 7:
x ≤ 4.2857
Since we cannot purchase a fraction of a ticket, Ms. Hernandez can purchase at most 4 child tickets.
Therefore, the inequality that can be used to find c is:
7x + 10 ≤ 40 or 10 + 7x ≤ 40.
To learn more about fraction,
https://brainly.com/question/10354322
https://brainly.com/question/1301963
each shelf on Sandra's bookcase is 42 1/2 inches long each book she wil place on a shelf is 3/4 inches wide what is the greatest number of books of this size can she fit on one shelf?
(the answer is 56 but I need to have the work)
Answers
Answer: yeah 56
Step-by-step explanation:
42.5 divided by .75 is 56.666666666666666666666666666667
And with this type of question, you have to round down to a whole number so, 56
Hope this helps :)
to find the number of books she can fit on the shelf, she has to divide the total amount of inches (85/2) by the width of each book (3/4)
dividing by a fraction is the same thing as multiplying by its reciprocal, so… 85/2 x 4/3 = 170/3
170/3 = about 56 books (rounded to the nearest whole number)
i hope this helped!! :))
Find the area of the composite figure.
A) 38 square units
B) 49 square units
C) 41.7 square units
D) 34.8 square units
Answers
Answer:
The answer is C (41.7)
Step-by-step explanation:
If you have any questions please ask me! :)
Find the value of x in the figure.
A) 130
B) 34
C) 19
D) 100
Answers
To find the value of x set up the equation
X+23+57=180
Combine like terms
X+80 = 180
Subtract 80
X+80-80=180-80
x=100
Answer D
Answer:
The answer is D (100)
Step-by-step explanation:
If you have any questions please ask me!
Which situation is best represented by the following equation
68.50x + 127.95 = 675.95
Answers
Answer: Option B
Step-by-step explanation:
Considering Option A
we can infer that the office manager paid a total of $675.95
the cost of the software package is $68.50
while an employee is paid $127.95 every hour she works on the website
So, the equation for this situation goes like this: 68.50 + 127.95x = 675.95
Coming to Option B
we can infer that the office manager paid a total of $675.95
the cost of one monitor is $127.95
while the hard drives are for $68.50 each
So, the equation for this situation goes like this: 68.50x + 127.95 = 675.95
Hence Option B is the correct answer
To learn more about Equations,
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The scale on a map reads 4 cm = 1.6 m. The relationship on the map is graphed on a coordinate grid, with centimeters on the y -axis and meters on the x -axis. The rate of change is: blank blank per blank
a. 0.4
b. 2.5
c. centimeters
d. meters
Answers
Answer:
To find the rate of change, we need to determine how much the value on the y-axis changes for every unit change on the x-axis.
The scale on the map reads 4 cm = 1.6 m, which means that for every 1 meter on the x-axis, there are 2.5 centimeters on the y-axis (since 4 cm is equivalent to 1.6 m, we can divide both sides by 1.6 to get 1 cm is equivalent to 0.4 m, or 2.5 cm is equivalent to 1 m).
Therefore, the rate of change on this graph is:
2.5 centimeters per meter
Or, we can express this as:
2.5 cm/m
Step-by-step explanation:
please help......................
Answers
Answer: 6.6 in^2
Step-by-step explanation:
2.2 x 3 = 6.6
I cant figure it out I have only one more chance too
Answers
Answer: I believe it's 57
Step-by-step explanation:
tryingtogetverified u have helped me sm thank u btw.
Answers
Answer:5sweaters
Step-by-step explanation:
if u add 40 twice for each sheep wich there are five sheeps that makes 200 then take away 40 till u get zero and counts how many 40s you took away
Greg has 4 shirts: a white one, a black one, a red one, and a blue one. He also has two pairs of pants, one blue and one tan. What is the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show your work.
Answers
Answer:
1/8 probability or a 12.5% chance
Step-by-step explanation:
Greg has 4 choices for his shirt and 2 choices for his pants. The total number of possible outfits is then 4*2 = 8. Since Greg is equally likely to choose any one of these outfits, the probability that he chooses the white shirt and tan pants is 1/8.
pls help mee/////////
Answers
Answer:c
Step-by-step explanation:im smart
What is area of the composite shape? ___ sq. in.
Use 3.14 for "pi" and round to the nearest hundredths place.
Answers
Answer:
7.14
Step-by-step explanation:
each semicircle is (1/2)(pi)(r^2)
together they are just pi(r^2)
this is pi(1^2)
or just pi
the square is 2x2
this is 4
so its 4+pi
7.14
Answer:
7.14 in^2
Step-by-step explanation:
3.14 x 1 ^2= 3.14
2 x 2 = 4
3.14+4= 7.14
Triangle ABC ~ triangle DEF. Use the image to answer the question.
a triangle ABC with side AC labeled 7.32 and a second triangle DEF with side DE labeled 8.8, side FD labeled 6.1 and side EF labeled 6.4
Determine the length of side AB and BC in triangle ABC.
AB = 10.065, BC = 8.388
AB = 8.8, BC = 6.4
AB = 10.56, BC = 7.68
AB = 7.425, BC = 5.954
Answers
Answer:
AB = 10.56 BC = 7.68
Step-by-step explanation:
With AC provided, we first have to find the quotient of AC and DF.
AC = 7.32
DF = 6.1
7.32 ÷ 6.1 = 1.2
So AC's dimensions are 1.2 times larger. So we use 1.2 to find AB and BC.
The similar sideline of AB is DE, and DE = 8.8
So we multiply 8.8 by 1.2
8.8 x 1.2 = 10.56
AB = 10.56
We do the same for BC. BC's similar sideline is EF, and EF = 6.4
6.4 x 1.2 = 7.68
BC = 7.68
Therefore AB = 10.56 and BC = 7.68
i need help.............................................
Answers
Answer: 9 yd^2
Step-by-step explanation: 4.5 x 2 = 9
Answer:
31.5 (31 1/2)
Step-by-step explanation:
A=l x w x h
3 1/2 x 4 1/2 x 2= 31 1/2/31.5
hopefully the last question!!
Answers
Answer:
the answer is 16.23
Nick had 29 toy cars. Then he bought 16 cars from the toy store and got 30 cars for his birthday. Nick gave 9 of the toy cars to his sister and 29 to his friend Jordan. How many toy cars does Nick have left?
Answers
Answer: 37 cars
Step-by-step explanation:
29 + 16= 45
45 + 30 = 75
75 - 38 = 37
Please! I have class again tomorrow and homework is due! Urgent!
Answers
I am so sorry but please help and if its not too much please explain how you did it too!♡ TY!<3
Answers
Answe 56
Step-by-step explanation:
hoped that helped
Which of the following combinations of side lengths will form a triangle with vertices X, Y, and Z? (will give brainliest)
(A.) XY = 18 mm , YZ = 20 mm , XZ = 39 mm
(B. ) XY = 17 mm , YZ = 20 mm , XZ = 36 mm
(C.) XY = 16 mm , YZ = 20 mm , XZ = 37 mm
(D.) XY = 17 mm , YZ = 19 mm , XZ = 37 mm
Answers
Answer:
The answer is B and D
Step-by-step explanation:
Why did you post the same question twice?
If you have any questions ask me please! :)
Answer:
B
Step-by-step explanation:
hope this helps
Find the approximate radius of a circle with a circumference of 51.81 millimeters. Use 3.14 for π. Round to the nearest hundredth if necessary.
Answers
Answer: 16.5
Step-by-step explanation:
51.81/3.14=16.5
Simple :)
Hope it helps!
51.81/3.14= 16.5
Kevin goes to a restaurant that offers 4 appetizer choices, 4 different meats, 6 vegetables, 4 desserts, and 7 drinks. Assuming he gets one of each, how many different meals could he order? Responses A 184 B 25 C 2688 D 672 E 504
Answers
4 appetizer choices × 4 meat choices × 6 vegetable choices × 4 dessert choices × 7 drink choices = 2,688
Therefore, Kevin can order 2,688 different meals. So the answer is option C.
what is -3 1/3 -2?
its for an i-ready assignment
Answers
Answer:
The answer is -5.333
fraction answer: -5 333/1000
Step-by-step explanation:
If you have any questions ask me please! :)
Answer:
-5.33333333333